Answer
$2$ is not a solution of this equation.
Work Step by Step
If we want to see if $2$ is a solution of this equation, we plug in $2$ to see if both sides of the equation equal one another:
$$13(2) + 3 = 3(5(2) - 1)$$
Simplify what is in parentheses first:
$$13(2) + 3 = 3(10 - 1)$$
Evaluate what is in parentheses:
$$13(2) + 3 = 3(9)$$
Multiply:
$$26 + 3 = 27$$
$$29 = 27$$
We see that both sides of the equation do not equal, so $2$ is not a solution of this equation.